Least Common Multiple of 6655 and 6662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6655 and 6662 the smallest integer that is 44335610 that is divisible by both numbers.

Least Common Multiple (LCM) of 6655 and 6662 is 44335610.

LCM(6655,6662) = 44335610

LCM of 6655 and 6662

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 6655 and 6662

LCM of 6655 and 6662 is 44335610

Least common multiple can be found by multiplying the highest exponent prime factors of 6655 and 6662. First we will calculate the prime factors of 6655 and 6662.

Prime Factorization of 6655


5 6655
11 1331
11 121
11 11
1

Prime factors of 6655 are 5,11. Prime factorization of 6655 in exponential form is:

6655 = 51×113

Prime Factorization of 6662


2 6662
3331 3331
1

Prime factors of 6662 are 2,3331. Prime factorization of 6662 in exponential form is:

6662 = 21×33311

Now multiplying the highest exponent prime factors to calculate the LCM of 6655 and 6662.

LCM(6655,6662) = 21×51×113×33311
LCM(6655,6662) = 44335610

Factors of 6655

List of positive integer factors of 6655 that divides 6655 without a remainder.

1, 5, 11, 55, 121, 605, 1331, 6655

Factors of 6662

List of positive integer factors of 6662 that divides 6662 without a remainder.

1, 2, 3331, 6662

Least Common Multiple of 6655 and 6662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6655 and 6662, than apply into the LCM equation.

GCF(6655,6662) = 1
LCM(6655,6662) = ( 6655 × 6662) / 1
LCM(6655,6662) = 44335610 / 1
LCM(6655,6662) = 44335610

Properties of LCM 6655 and 6662

(i) The LCM of 6662 and 6655 is associative

LCM of 6655 and 6662 = LCM of 6662 and 6655

Related Least Common Multiples of 6655

Related Least Common Multiples of 6662

Frequently Asked Questions on LCM of 6655 and 6662

1. What is the LCM of 6655 and 6662?

Answer: LCM of 6655 and 6662 is 44335610.

2. What are the Factors of 6655?

Answer: Factors of 6655 are 1, 5, 11, 55, 121, 605, 1331, 6655. There are 8 integers that are factors of 6655. The greatest factor of 6655 is 6655.

3. What are the Factors of 6662?

Answer: Factors of 6662 are 1, 2, 3331, 6662. There are 4 integers that are factors of 6662. The greatest factor of 6662 is 6662.

4. How to Find the LCM of 6655 and 6662?

Answer:

Least Common Multiple of 6655 and 6662 = 44335610

Step 1: Find the prime factorization of 6655

6655 = 5 x 11 x 11 x 11

Step 2: Find the prime factorization of 6662

6662 = 2 x 3331

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 44335610 = 2 x 5 x 11 x 11 x 11 x 3331

Step 4: Therefore, the least common multiple of 6655 and 6662 is 44335610.